Conversion of Number system Unit Outcome: 1a. Convert the given number into the specified number system. How to Convert From Any Number Based System To Decimal Contents Binary to Decimal Octal to Decimal Hexadecimal to Decimal Binary to
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Presentation Transcript
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Conversion of Number system Unit Outcome:
1a. Convert the given number into the specified number system.<br>
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How to Convert From Any Number Based System To Decimal<br>
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Contents Binary to Decimal
Octal to Decimal
Hexadecimal to Decimal
Binary to Octal
Binary to Hexadecimal
Octal to Binary
Hexadecimal to Binary<br>
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Binary to Decimal Hexadecimal Decimal Octal Binary<br>
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Binary to Decimal Conversion Digits: a binary digit representing a 0 or a 1.
Binary numbers are of base 2
instead of decimal places such as 1s, 10s, 100s, 1000s, etc., binary uses powers of two to have 1s, 2s, 4s, 8s, 16s, 32s, 64s, etc.<br>
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Examples:<br>
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Octal to Decimal Hexadecimal Decimal Octal Binary<br>
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Octal to Decimal Conversion Base or radix of Octal numbers is 8.
Octal numbers uses powers of 8.
Digits: Octal digit representing {0, 1, 2, 3, 4, 5, 6, 7}.<br>
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Conversion Octal to Decimal<br>
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Solve Convert following Octal numbers to Decimal
(753.41)8
(123.76)8
3. (56)8
4. (235)8<br>
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Hexadecimal to Decimal Hexadecimal Decimal Octal Binary<br>
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Hexadecimal to Decimal Conversion Hex numbers are numbers of base 16.
Hex numbers uses powers of 16.
Digits: Hex digit representing : {0, 1, 2, 3, 4, 5, 6, 7,8,9,A,B,C,D,E,F}.<br>
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Conversion Hexadecimal to Decimal<br>
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Solve Convert following Hexadecimal numbers to Decimal
(892.41)16
(A234.CD)16
(2F5)16
(AB)16<br>
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Binary to Octal Hexadecimal Decimal Octal Binary<br>
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Convert From Binary To Octal In octal 1 digit corresponds to 3 digits in binary, because
for the conversion from binary to octal there are two cases
1.If decimal point is not present
Start to make a group of 3 bits from rightmost bit to leftmost bit.
Assign the corresponding octal digit to each group.
2.if decimal point is present
Divide the given number into two parts before decimal point and after decimal
point
for a part of before decimal point
Start to make a group of 3 bits from rightmost (LSB) bit to leftmost bit(MSB).
Assign the corresponding octal digit to each group.
For a part of after decimal point
Start to make a group of 3 bits from leftmost (LSB) bit to rightmost bit(MSB).
Assign the corresponding octal digit to each group<br>
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Binary To Octal 1011010111.0111112 = ?8 1011010111.0111112 = 1327.378<br>
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Solve<br>
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Binary to Hexadecimal Hexadecimal Decimal Octal Binary<br>
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Convert From Binary To Hexadecimal In hexadecimal 1 digit corresponds to 4 digits in binary, because
for the conversion from binary to octal there are two cases
1.If decimal point is not present
Start to make a group of 4 bits from rightmost bit to leftmost bit.
Assign the corresponding hexadecimal digit to each group.
2.if decimal point is present
Divide the given number into two parts before decimal point and after decimal point
for a part of before decimal point
Start to make a group of 4 bits from rightmost (LSB) bit to leftmost bit(MSB).
Assign the corresponding hexadecimal digit to each group.
For a part of after decimal point
Start to make a group of 4 bits from leftmost (LSB) bit to rightmost bit(MSB).
Assign the corresponding hexadecimal digit to each group<br>
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Binary To Hexadecimal<br>
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Solve<br>
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Convert From Octal To Binary<br>
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Hexadecimal to Binary Hexadecimal Decimal Octal Binary<br>
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Convert From Hexadecimal To Binary<br>
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Hexadecimal To Binary 10AF.C416 = ?2 10AF.C416 = 0001000010101111.110001002<br>
